• Electronics Optics & Control
  • Vol. 24, Issue 7, 1 (2017)
MA Qing-liang1, YANG Hai-yan2, and WU Xu-guang2
Author Affiliations
  • 1[in Chinese]
  • 2[in Chinese]
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    DOI: 10.3969/j.issn.1671-637x.2017.07.001 Cite this Article
    MA Qing-liang, YANG Hai-yan, WU Xu-guang. Mixed H2/H∞ Control of Polynomial Fuzzy Systems[J]. Electronics Optics & Control, 2017, 24(7): 1 Copy Citation Text show less
    References

    [1] TANAKA K,YOSHIDA H,OHTAKE H,et al.A sum of squares approach to stability analysis of polynomial fuzzy systems[C]//Proceedings of the American Control Conference,New York,2007:4071-4076.

    [2] LAM H K,WU L,LAM J.Two-step stability analysis for general polynomial-fuzzy-model-based control systems[J].IEEE Transactions on Fuzzy Systems,2015,23(3):511-524.

    [3] FURQON R,CHEN Y J,TANAKA M,et al.Stabilization analysis of single-input polynomial fuzzy systems using control Lyapunov Functions[C]//IEEE International Conference on Fuzzy Sytstems,Beijing,2014:907-912.

    [4] TANAKA K,OHTAKE H,WANG H O.Guaranteed cost control of polynomial fuzzy systems via a sum of squares approach[J].IEEE Transactions on Systems,Man,and Cybernetics-Part B:Cybernetics,2009,39(2):561-567.

    [5] JIANG Y,ZHAO Y. H∞ filtering of polynomial fuzzy systems with fading measurements[C]//Proceedings of the 33rd Chinese Control Conference,Nanjing,2014:4530-4533.

    [6] HAN H,HIGAKI Y.Polynomial fuzzy controller design with disturbance observer using the SOS-based approach[J].IEEJ Transactions on Electrical and Electronic Engineering, 2015,10(4):458-464.

    [8] PARRILO P A.Structured semidefinite programs and semialgebraic geometry method in robustness and optimization[D].California: California Institute of Technology,2000.

    [9] PRAJNA S, PAPACHRISTODOULOU A,WU F.Nonlinear control synthesis by sum of squares optimization:a Lyapunov-based approach[C]//Proceedings of the Asian Control Conference (ASCC),Melbourne,2004:157-165.

    [10] LEE K P,JEUNG E T,PARK H B.Robust fuzzy H∞ control for uncertain nonlinear systems via state feedback:an LMI approach[J].Fuzzy Sets and Systems,2001,120(1):120-134.

    [11] PRAJNA S,PAPACHRISTODOULOU A,PARRILO P A.Introducing SOSTOOLS:a general purpose sum of squares programming solver[C]//Proceedings of the IEEE Conference on Decision and Control,Las Vegas,2002:741-746.

    MA Qing-liang, YANG Hai-yan, WU Xu-guang. Mixed H2/H∞ Control of Polynomial Fuzzy Systems[J]. Electronics Optics & Control, 2017, 24(7): 1
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